High-Order Discontinuous Galerkin Solution of Compressible Flows with a Hybrid Lattice Boltzmann Flux

被引：0
|
作者：
Sun Y. [1 ]
Cai J. [1 ]
Qin W. [1 ]
机构：
[1] The 28th Research Institute of China Electronics Technology Group Corporation, Nanjing
来源：
Sun, Yongcheng (yongchengsun@126.com) | 2018年 / Nanjing University of Aeronautics an Astronautics卷 / 35期
关键词：
Discontinuous Galerkin (DG) method; Euler equations; Hybrid lattice Boltzmann flux solver; Navier-Stokes equations;
D O I：
10.16356/j.1005-1120.2018.03.413
中图分类号：
学科分类号：
摘要：
A discontinuous Galerkin (DG)-based lattice Boltzmann method is employed to solve the Euler and Navier-Stokes equations. Instead of adopting the widely used local Lax-Friedrichs flux and Roe Flux etc., a hybrid lattice Boltzmann flux solver (LBFS) is employed to evaluate the inviscid flux across the cell interfaces. The main advantage of the hybrid LBFS is its flexibility for capturing both strong shocks and thin boundary layers through introducing a function which varies from zero to one to control the artificial viscosity. Numerical results indicate that the hybrid lattice Boltzmann flux solver behaves very well combining with the high-order DG method when simulating both inviscid and viscous flows. © 2018, Editorial Department of Transactions of NUAA. All right reserved.
引用
收藏
页码：413 / 422
页数：9
相关论文
共 50 条
  • [1] High-Order Discontinuous Galerkin Solution of Compressible Flows with a Hybrid Lattice Boltzmann Flux
    Sun Yongcheng
    Cai Junwei
    Qin Wanglong
    [J]. Transactions of Nanjing University of Aeronautics and Astronautics, 2018, 35 (03) : 413 - 422
  • [2] A high-order discontinuous Galerkin method for compressible flows with immersed boundaries
    Mueller, B.
    Kraemer-Eis, S.
    Kummer, F.
    Oberlack, M.
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2017, 110 (01) : 3 - 30
  • [3] A high-order nodal discontinuous Galerkin method for solution of compressible non-cavitating and cavitating flows
    Hejranfar, K.
    Hajihassanpour, M.
    [J]. COMPUTERS & FLUIDS, 2017, 156 : 175 - 199
  • [4] HIGH-ORDER DISCONTINUOUS GALERKIN SOLUTION OF LOW-RE VISCOUS FLOWS
    Lu, Hongqiang
    [J]. MODERN PHYSICS LETTERS B, 2009, 23 (03): : 309 - 312
  • [5] A high order discontinuous Galerkin method for compressible turbulent flows
    Bassi, F
    Rebay, S
    [J]. DISCONTINUOUS GALERKIN METHODS: THEORY, COMPUTATION AND APPLICATIONS, 2000, 11 : 77 - 88
  • [6] A High-Order Discontinuous Galerkin Discretization with Multiwavelet-Based Grid Adaptation for Compressible Flows
    Nils Gerhard
    Francesca Iacono
    Georg May
    Siegfried Müller
    Roland Schäfer
    [J]. Journal of Scientific Computing, 2015, 62 : 25 - 52
  • [7] A High-Order Discontinuous Galerkin Discretization with Multiwavelet-Based Grid Adaptation for Compressible Flows
    Gerhard, Nils
    Iacono, Francesca
    May, Georg
    Mueller, Siegfried
    Schaefer, Roland
    [J]. JOURNAL OF SCIENTIFIC COMPUTING, 2015, 62 (01) : 25 - 52
  • [8] A Hybrid Lattice Boltzmann Flux Solver for Simulation of Viscous Compressible Flows
    Yang, L. M.
    Shu, C.
    Wu, J.
    [J]. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2016, 8 (06) : 887 - 910
  • [9] Multigrid solution for high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations
    Oliver, Todd A.
    Fidkowski, Krzysztof J.
    Darmofal, David L.
    [J]. COMPUTATIONAL FLUID DYNAMICS 2004, PROCEEDINGS, 2006, : 455 - +
  • [10] Flux Limiter Lattice Boltzmann for Compressible Flows
    陈峰
    许爱国
    张广财
    李英骏
    [J]. Communications in Theoretical Physics, 2011, 56 (08) : 333 - 338
12345